Semi-T-maximal sumodules

Abstract EN

Let be a commutative ring with identity and be an -module.

In this work, we present the concept of semi--maximal sumodule as a generalization of -maximal submodule.

We present that a submodule of an -module is a semi--maximal (sortly --max) submodule if is a semisimple -module (where is a submodule of ).

We investegate some properties of these kinds of modules.